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Question

The mean of the following frequency distribution is $$25.2$$. Find the missing frequency $$x$$
$$C.I.$$$$0-10$$$$10-20$$
$$20-30$$$$30-40$$$$40-50$$
frequency$$8$$$$X$$$$10$$$$11$$$$9$$


Solution

Solution - 
 C.I0-10 10-20 20-30 30-40 40-50 
 Frequency10 11 9. 
 Midvalue15 25 35 45 
Mean = 25.2
$$ \frac{8\times 5+15x+10\times 25+11\times 35+9\times 45}{8+x+10+11+9} = 25.2$$
$$ 1080+15x = 957.6+25.2x$$
$$ x= \frac{122.4}{10.2}$$
$$ x = 12.$$

1103967_1188659_ans_54ab351b20fa4164be1099fb9c4072db.jpg

Mathematics

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